Prove th the following sets of three points are collinear: `2hati+hatj-hatk, 3hati-2hatj+hatk and hati+4hatj-3hatk`

Prove that the following vectors are at righat angle: 2hati+5hatj+hatk, 3hati-2hatj+4hatk

The position vectors of the points A, B, C are 2 hati + hatj - hatk , 3 hati - 2 hatj + hatk and hati + 4hatj - 3 hatk respectively . These points

The position vectors of the points A, B, C are 2 hati + hatj - hatk , 3 hati - 2 hatj + hatk and hati + 4hatj - 3 hatk respectively . These points

The position vectors of the points A, B, C are 2 hati + hatj - hatk , 3 hati - 2 hatj + hatk and hati + 4hatj - 3 hatk respectively . These points

If the position vectors of the three points A,B,C are 2hati+4hatj-hatk, hati+2hatj-3hatk and 3hati+hatj+2hatk respectively, find a vector perpendicular to the plane ABC.

Prove that the three points whose positions vectors are 3hati-hatj+2hatk, hati-hatj-3hatk and 4hati-3hatj+hatk form an isosceles tirangle.

Prove that the following vectors are at righat angle: 2hati-hatj+hatk ,hati-3hatj+5hatk

The vector equation of the plane passing through the points hati+hatj-2hatk,2hati-hatj+hatk and hati+hatj+hatk , is

Find the angel between the following pairs of vectors 2hati-3hatj+hatk, 3hati-hatj-2hatk

Find the angle between the following pairs of vectors 3hati+2hatj-6hatk, 4hati-3hatj+hatk , hati-2hatj+3hatk, 3hati-2hatj+hatk